yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Positive and negative rotaion of points example


2m read
·Nov 11, 2024

We're told that point P was rotated about the origin (0, 0) by 60 degrees. Which point is the image of P? Pause this video and see if you can figure that out.

All right, now let's think about it. This is point P; it's being rotated around the origin (0, 0) by 60 degrees. So, if originally point P is right over here and we're rotating by positive 60 degrees, that means we go counterclockwise by 60 degrees.

So this looks like about 60 degrees right over here. One way to think about 60 degrees is that that's one third of 180 degrees. So, does this look like 1/3 of 180 degrees? Remember, 180 degrees would be almost a full line, so that indeed does look like one third of 180 degrees.

60 degrees gets us to point C, and it looks like it's the same distance from the origin. We have just rotated by 60 degrees. Point D looks like it's more than a 60-degree rotation, so I won't go with that one.

All right, let's do one more of these. So, we're told point P was rotated by negative 90 degrees. The center of rotation is indicated. Which point is the image of P?

So once again, pause this video and try to think about it. All right, so we have our center of rotation; this is our point B, and we're rotating by negative 90 degrees.

So, this means we are going clockwise. We're going in that direction, and 90 degrees is easy to spot; it's a right angle, and so it would look like that.

It looks like it is getting us right to point A. So, this is a negative 90-degree rotation right over here that gets us to point A.

More Articles

View All
I’m SHOCKED at how much YouTube paid me for a VIRAL VIDEO...
What’s up you guys, it’s Graham here! So, two things: number one, we just had our first video break 1 million views in one week on one video. Just to give you guys some context here, usually my channel does anywhere from 850,000 to about 1.1 million views…
Office Hours with Sam Altman
All right, so this is going to be the first office hours we’re doing on YouTube, and people have submitted questions on HN, so we’re jam ready. And so, yeah, that’s Sam Altman. Here we go. This is kind of a couple questions put together. As a B2B company…
Over- and under-estimation of Riemann sums | AP Calculus AB | Khan Academy
Consider the left and right Riemann sums that would approximate the area under y is equal to g of x between x equals 2 and x equals 8. So we want to approximate this light blue area right over here. Are the approximations overestimations or underestimatio…
Here’s how you can leverage yourself to have a better work-life balance
Gabby: “Este, and many of you have asked how do you approach the work-life balance? Is it better to spend more time on work, more time on family? I want to emphasize that you can have, uh, the most of both. I found in life that when faced with the proble…
Interactions between populations | Ecology and natural systems | High school biology | Khan Academy
In the introduction to ecology, we introduce the idea of a community, which is all about different populations that are in the same habitat, that share the same area, or that are in the same area. So, populations, and if we’re thinking in terms of water o…
Is The 5-Second Rule True?
Hey, Vsauce. Michael here. And bananas are fantastic. They’re actually one of the most radioactive foods we regularly eat. Sometimes they’re difficult to peel from the top. One of my favorite ways to avoid that is to simply hold the banana and snap it in …